Frog in a well

A frog is at the bottom of the well which is 20 meters deep. Everyday the frog jumps 5 meters upwards and fall 4 meters down.On which day the frog will reach the top?


This problem is a part of the set Brain Games

16th 20th 17th 15th

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2 solutions

First day it jumps 5 meters and falls 4 meters. Now it will be at a height of 1 meter.

Second day it jumps to 6 meters and falls back to 2 meter.

Third day it jumps to 7 meters and falls back to 3 meter.

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Fifteenth day it jumps to 19 meters and falls back to 15 meters.

Finally, sixteenth day it jumps to 20 meters, but now the frog have reached the top of the well.

So the Frog reaches the top of the well at the sixteenth day.

1st day he jump 1 meter and 15th day he jupm 15 meter 16th day he out of well

YOGESH KUMAR - 6 months, 2 weeks ago
Abyoso Hapsoro
Apr 16, 2015

Since it is 20 meters deep, and the frog can jump (5 - 4) or 1 meter per day, and 5 meters at the last day. The answer is 15 + 1 = 16. Here are my steps: d e p t h j u m p h e i g h t m a x j u m p h e i g h t m i n = 20 5 1 = 15 \frac { depth\quad -\quad { jump\quad height }_{ max } }{ { jump\quad height }_{ min } } \quad =\quad \frac { 20\quad -\quad 5 }{ 1 } \quad =\quad 15 Because each day the frog gets 1 meter higher, divide 15 with 1, you get 15 days. Add it with the last jump (5 meter) and you get 15 + 1 = 16

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